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If two parallel lines are intersected by a transversal, and one of the exterior

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Question: If two parallel lines are intersected by a transversal, and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?

Options:

  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 120 degrees

Solution:

Opposite exterior angles are equal, so the measure is also 120 degrees.

If two parallel lines are intersected by a transversal, and one of the exterior

Practice Questions

Q1
If two parallel lines are intersected by a transversal, and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?
  1. 60 degrees
  2. 120 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two parallel lines are intersected by a transversal, and one of the exterior angles is 120 degrees, what is the measure of the opposite exterior angle?
  • Step 1: Understand that parallel lines are lines that never meet and are always the same distance apart.
  • Step 2: Know that a transversal is a line that crosses two or more other lines.
  • Step 3: Identify that when a transversal intersects parallel lines, it creates angles.
  • Step 4: Recognize that exterior angles are the angles formed outside the parallel lines.
  • Step 5: Remember that opposite exterior angles are equal when formed by a transversal intersecting parallel lines.
  • Step 6: Since one exterior angle is given as 120 degrees, the opposite exterior angle must also be 120 degrees.
  • Exterior Angles – Exterior angles are formed when a transversal intersects two parallel lines, and they are equal in measure when they are opposite each other.
  • Parallel Lines and Transversals – When two parallel lines are cut by a transversal, several angle relationships are established, including corresponding angles, alternate interior angles, and exterior angles.
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